For WITTGENSTEIN Ludwig Revised

For WITTGENSTEIN Ludwig 0 Revised

Position of Language

TANAKA Akio  
             

1  Quantization ¹  is a cliff for consideration of language.

2 Mathematical interpretation of quantized language is now a first step to the theoretical ascent.

3 If there is not mathematics, next conjectures are impossible.

(i) Difference between word and sentence--- Commutative and noncommutative ring 

(ii) Continuation from word to sentence--- Tomita’s fundamental theorem 

(iii) Word’s finiteness and sentence’s infinity--- Property infinite  and  purely infinite 

(iv) Cyclic  structure of word’s meaning--- Infinite cyclic group 

4  Meaning minimum ² ,  mirror language ³  and  mirror symmetry ⁴  are inevitable approach to the study of language especially for  language universals ⁵ .

5 Symplectic Language Theory, Floer Homology Language and Arithmetic Geometry Language are adopted as the model theory   for natural language in the recent.

6 Hereinafter the model theory will be entered to the new concept .  The Model s  of Language Universals 6   will be shown by the description of mathematics .

[References]

0 .  WITTGENSTEIN Ludwig

The Time of Wittgenstein

1 .  Quantized Language

Quantization of Language /Floer Homology Language 

2 .  Meaning minimum

Structure of Meaning / Symplectic Language Theory 

3 .  Mirror language

Mirror Symmetry on Rational Curve / Symplectic Language Theory 

4 .  Mirror symmetry

Homology Mirror Symmetry Conjecture by KONTSEVICH / Symplectic Language Theory 

5 .  Language universals

Generating Function / Symplectic Language Theory 

6. Models of  Language Universals

Language Universal Models  

Tokyo December 10, 2005

Tokyo November 27, 2008 Revised
Tokyo March 24, 2009 Revised
Tokyo June 27, 2009 Revised
Tokyo February 28, 2011 Revised

Tokyo August 3, 2012 Revised

Tokyo December 8, 2014 Reprinted

SIL